Functions of the second kind for classical polynomials
Abbreviated Journal Title
Adv. Appl. Math.
Raising and lowering operators; Rodrigues formulas; Askey-Wilson; operator; Wilson operator; Jackson q-difference operator; Big and small; q-Jacobi polynomial; Al-Salam-Chihara polynomials; Indeterminate moment; problems; ORTHOGONAL POLYNOMIALS; DIFFERENCE-EQUATIONS; WILSON POLYNOMIALS; Mathematics, Applied
We give new derivations of properties of the functions of the second kind of the Jacobi, little and big q-Jacobi polynomials, and the symmetric Al-Salam Chihara polynomials for q > 1. We also study the Askey Wilson functions and the Wilson functions of second kind. An integration by parts formula is derived for the Wilson operator in appropriate Hilbert space. In case of undetermined moment problem, we prove that the function of second kind depends on the measure. (C) 2013 Elsevier Inc. All rights reserved.
Advances in Applied Mathematics
"Functions of the second kind for classical polynomials" (2014). Faculty Bibliography 2010s. 5500.